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Finding the Fourth Proportional to 63,604, 95,406 and 19,828

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Solution

The fourth proportional to 63,604, 95,406 and 19,828 is: 29,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,604 : 95,406 = 19,828 : x
  2. Step 2: Convert to fraction form
    63,604/95,406 = 19,828/x
  3. Step 3: Cross multiply
    63,604x = 95,406 × 19,828
  4. Step 4: Simplify right side
    63,604x = 1,891,710,168
  5. Step 5: Solve for x
    x = 1,891,710,168/63,604
  6. Step 6: Final answer
    x = 29,742

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.